By N. Apostolatos (auth.), Dr. Herbert Fischer, Dr. Bruno Riedmüller, Priv.-Doz. Dr. Stefan Schäffler (eds.)
The authors of this Festschrift ready those papers to honour and exhibit their friendship to Klaus Ritter at the celebration of his 60th birthday. Be reason for Ritter's many pals and his overseas popularity between math ematicians, discovering members was once effortless. in truth, constraints at the dimension of the ebook required us to restrict the variety of papers. Klaus Ritter has performed very important paintings in numerous components, specially in var ious purposes of linear and nonlinear optimization and likewise in reference to records and parallel computing. For the latter we need to point out Rit ter's improvement of transputer computing device undefined. The extensive scope of his study is mirrored by means of the breadth of the contributions during this Festschrift. After numerous years of medical learn within the united states, Klaus Ritter was once ap pointed as complete professor on the college of Stuttgart. because then, his identify has turn into inextricably hooked up with the usually scheduled meetings on optimization in Oberwolfach. In 1981 he grew to become complete professor of utilized arithmetic and Mathematical records on the Technical collage of Mu nich. as well as his college educating tasks, he has made the job of employing mathematical easy methods to difficulties of to be centrally important.
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The very complex flow process as well as the physical, chemical and biological processes are mapped onto a mathematical water quality model. This model has been applied to several rivers in Bavaria. 5. Hydrodynamic Numerical Models Authors: TV Miinchen Edenhofer Hauger Heider Hirt Ritter Schmitz Seus Bayer. Landesamt fUr V mweltschutz Mitterer Rothmeier Schwaller It is possible today to calculate the flow in brooks, rivers or canals by hydrodynamic numerical models (HN-models) due to the capacity of modern computers.
Sufficient conditions for global minima of suitably convex functionals from variational and control theory". SIAM Review 19 (1977),202-220. , "Generalized convexities of lower semicontinuous functions". Optimization 16 (1985),663-668. , "Generalizations of Convex and Related Functions". European Joumal of Operational Research 9 (1982), 369-377. , "A characterization of convex functions in linear spaces". Zeszyty Naukowe Akademii Gomiczo-Hutniczej 1m. Stanislawa Staszica (1989), KrakOw, 71-74.
The proof is complete. 0 CoroLLary. In view of the above proof it is immediately clear that concave and semistrictly quasiconcave can be replaced by *-concave and semistrictly *-quasiconcave in the above theorem, where * is any of the following concepts: a (ae:(O, 1) predefined}, rationaLLy (aLL a E Q'"l(O,1», midpoint (a=i). Convexity of Xcan be relaxed accordingly. From the facts known to hold in a real-valued setting, it is not surprising that the above theorem has a nonsemistrict counterpart.